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Finding the Fourth Proportional to 151.22, 227.66 and 105.90

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Solution

The fourth proportional to 151.22, 227.66 and 105.90 is: 159.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.22 : 227.66 = 105.90 : x
  2. Step 2: Convert to fraction form
    151.22/227.66 = 105.90/x
  3. Step 3: Cross multiply
    151.22x = 227.66 × 105.90
  4. Step 4: Simplify right side
    151.22x = 24,109.19
  5. Step 5: Solve for x
    x = 24,109.19/151.22
  6. Step 6: Final answer
    x = 159.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.